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Viscoelasticity in polymers: Phenomenological to molecular mathematical modeling
Author(s) -
Banks H.T.,
Luke N.S.,
Samuels J.R.
Publication year - 2007
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.20250
Subject(s) - viscoelasticity , polymer , phenomenological model , constitutive equation , mathematics , statistical physics , classical mechanics , mechanics , materials science , physics , thermodynamics , finite element method , composite material , statistics
We report on two recent advances in the modeling of viscoelastic polymers: (i) a new constitutive model that combines the virtual stick‐slip continuum “molecular‐based” ideas of Johnson and Stacer with the Rouse bead chain ideas; (ii) a two‐dimensional version of a model that accounts for stenosis‐driven shear wave propagation in biotissue. © 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 23: 817–831, 2007